Constant of proportionality through (3, 10)

Step by step

The question

Question: find the constant of proportionality for the point (3, 10).

Proportional means: y divided by x is always the same number.

We call that number k.

Then y = k times x.

1 Divide y by x

x is 3 and y is 10.

So k is 10/3.

2 Write the equation

y = k x, with k = 10/3.

So the equation is y = 10/3x.

3 Check

Let's check: k times x should give each y.

10/3 times 3 is 10.

So the answer is right!

Let's look back.

First: divide y by x.

Then: write the equation.

Last: check.